Kielanowski, Piotr

Geometric Methods in Physics

Kielanowski, Piotr - Geometric Methods in Physics, ebook


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Table of contents

Part I. Quantization, the Scientific Legacy of B.V. Fedosov

1. Non-formal Deformation Quantization and Star-exponential of the Poincaré Group
Pierre Bieliavsky, Axel Goursac, Florian Spinnler

2. Spinc, Mpc and Symplectic Dirac Operators
Michel Cahen, Simone Gutt

-deformation of the Harmonic Oscillator in a 2D-phase Space
M. N. Hounkonnou, D. Ousmane Samary, E. Baloïtcha, S. Arjika

4. Star Products and Certain Star Product Functions
Mari Iida, Chishu Tsukamoto, Akira Yoshioka

5. Paragrassmann Algebras as Quantum Spaces Part I: Reproducing Kernels
Stephen Bruce Sontz

Part II. Groups, Algebras and Symmetries

6. Rolling of Coxeter Polyhedra Along Mirrors
Dmitri V. Alekseevski, Peter W. Michor, Yurii A. Neretin

7. Boundedness for Pseudo-differential Calculus on Nilpotent Lie Groups
Ingrid Beltiţă, Daniel Beltiţă, Mihai Pascu

8. A Useful Parametrization of Siegel–Jacobi Manifolds
Stefan Berceanu

9. An Application of the Reduction Method to Sutherland type Many-body Systems
L. Fehér

10. Lagrange Anchor for Bargmann–Wigner Equations
D. S. Kaparulin, S. L. Lyakhovich, A. A. Sharapov

11. The Laplace Transform, Mirror Symmetry, and the Topological Recursion of Eynard–Orantin
Motohico Mulase

12. An Elementary Proof of the Formal Rigidity of the Witt and Virasoro Algebra
Martin Schlichenmaier

13. Invariants for Darboux Transformations of Arbitrary Order for
Ekaterina Shemyakova

14. Decomposition of Weyl Group Orbit Products of W(A2)
Agnieszka Tereszkiewicz

Part III. General Methods

15. On Operators Generated by Maps with Separable Dynamics
A. Antonevich, A. Akhmatova

16. From the Heat Equation to Ordinary Differential Equations
Elena Yu. Bunkova

17. 4-planar Mappings of Quaternionic Kähler Manifolds
Irena Hinterleitner

18. Unduloid-like Equilibrium Shapes of Carbon Nanotubes Subjected to Hydrostatic Pressure
Ivaïlo M. Mladenov, Mariana Ts. Hadzhilazova, Vassil M. Vassilev, Peter A. Djondjorov

19. Resonance Phenomenon for Potentials of Wigner–von Neumann Type
Barbara Pietruczuk

20. Form Factor Approach to the Calculation of Correlation Functions of Integrable Models
N. A. Slavnov

21. On Space-like Hypersurfaces in a Space-time
Sergey Stepanov, Josef Mikeš

22. On Bogomolny Decompositions for the Baby Skyrme Models
Ł. T. Stępień

Keywords: Mathematics, Group Theory and Generalizations, Global Analysis and Analysis on Manifolds, Quantum Computing

Publication year
Trends in Mathematics
Page amount
10 pages
Natural Sciences

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